In this paper, a constructive theory is developed for approximating func- tions of one or more variables by superposition of sigmoidal functions. This is done in the uniform norm as well as in the L^p norm. Results fo...In this paper, a constructive theory is developed for approximating func- tions of one or more variables by superposition of sigmoidal functions. This is done in the uniform norm as well as in the L^p norm. Results for the simultaneous approx- imation, with the same order of accuracy, of a function and its derivatives （whenever these exist）, are obtained. The relation with neural networks and radial basis func- tions approximations is discussed. Numerical examples are given for the purpose of illustration.展开更多
Area integral functions are introduced for sectorial operators on L^p-spaces. We establish the equivalence between the square and area integral functions for sectorial operators on L^p spaces. This follows that the re...Area integral functions are introduced for sectorial operators on L^p-spaces. We establish the equivalence between the square and area integral functions for sectorial operators on L^p spaces. This follows that the results of Cowling, Doust, McIntosh, Yagi, and Le Merdy on H^∞ functional calculus of seetorial operators on LP-spaces hold true when the square functions are replaced by the area integral functions.展开更多
L-茶氨酸(L-Theanine,LTA)是茶叶中独特的游离氨基酸,是茶汤鲜爽味的主要来源,具有多种生物活性,属于新食品原料。本文基于Citespace和VOSviewer对Web of Science核心数据库和中国知网数据库,对2014~2024年LTA相关文献进行可视化分析,...L-茶氨酸(L-Theanine,LTA)是茶叶中独特的游离氨基酸,是茶汤鲜爽味的主要来源,具有多种生物活性,属于新食品原料。本文基于Citespace和VOSviewer对Web of Science核心数据库和中国知网数据库,对2014~2024年LTA相关文献进行可视化分析,其中关键词密度和贡献图谱结果显示LTA相关研究集中在茶叶类型、胁迫反应、LTA的生物活性等方面。因此,本文综述了茶叶LTA含量的影响因素,并重点阐述LTA生物活性作用机制,包括抗氧化、抗热应激、抗抑郁、调节代谢、抗癌、调节免疫、调节肠道菌群、保护神经系统、保护肝脏和保护肠道的作用机制,发现LTA主要通过调控核因子κB(Nuclear factor kappa B,NF-κB)、c-Jun氨基末端激酶(c-Jun N-terminal kinase,JNK)、信号传导及转录激活因子(Signal transducer and activator of transcription,STAT)和丝裂原活化蛋白激酶(Mitogen-activated protein kinase,MAPK)等信号通路发挥生物活性功能,并总结了当前LTA在食品产业中的实际应用。本文可为LTA的研究和发展提供方向,并为开发LTA功能性食品提供一定的参考。展开更多
The cycle coatrol function is defined and used to estimate tbe number of limit cycles for someplanar autonomous systems. Some sufficient conditions for the existence of no or at most one limitcycles are given.
The author studies the L^p mapping properties of a class of maximal functions that are related to oscillatory singular integral operators. Lp estimates, as well as the corresponding weighted estimates of such maximal ...The author studies the L^p mapping properties of a class of maximal functions that are related to oscillatory singular integral operators. Lp estimates, as well as the corresponding weighted estimates of such maximal functions, are obtained. Moreover, several applications of our results are highlighted.展开更多
We study the Gross conjecture for the cyclotomic function field extension k(∧f)/k where k = Fq(t) is the rational function field and f is a monic polynomial in Fq[t].We prove the conjecture in the Fermat curve case(i...We study the Gross conjecture for the cyclotomic function field extension k(∧f)/k where k = Fq(t) is the rational function field and f is a monic polynomial in Fq[t].We prove the conjecture in the Fermat curve case(i.e., when f = t(t - 1)) by a direct calculation. We also prove the case when f is irreducible, which is analogous to the Weil reciprocity law. In the general case, we manage to show the weak version of the Gross conjecture here.展开更多
In this paper a zero-density estimate of the large sieve type is given for the automorphic L-function L f (s,χ),where f is a holomorphic cusp form and χ a Dirichlet character of mod q.
Summary： The effects of L-carnitine, as an ingredient of cardioplegia solution, on cardiac function and cardiomyocyte apoptosis in patients undergoing heart valve replacement operation were investigated. Twenty-three...Summary： The effects of L-carnitine, as an ingredient of cardioplegia solution, on cardiac function and cardiomyocyte apoptosis in patients undergoing heart valve replacement operation were investigated. Twenty-three cases undergoing heart valve replacement with cardiopulmonary bypass （CPB） were randomly allocated into two groups： L-carnitine group （n=12, 12 g/L L-carnitine was put in the ST. Thomas cardioplegia） and control group （n=11, identical to the L-carnitine group except that normal saline was administered instead of L-carnitine）. Serum cardial troponin I （cTnI） levels, the left ventricular ejection fraction （LVEF）, and cardiac index （CI） were measured perioperatively. A bit of myocardial tissue obtained from right atria was taken before CPB and by the end of intracardiac procedure to undergo electron microscopy examination and estimate apoptosis by terminal deoxynucleotidyl transferase-mediated dUTP nick end-labeling （TUNEL）. From the end of CPB to 3 days after operation, the serum levels of cTnI in the L-carnitine group was significantly lower than that in the control group （P〈0.05）. Heart color ultrasonogram showed that the CI index and LVEF at 7th day postoperatively in the L-carnitine group were significantly higher than in the control group （P〈0.05）. Compared to the control group, L-carnitine significantly alleviated the morphologic changes of cardiac muscle cells （electron microscopy examination） and decreased the amounts of apoptotic cardiac muscle cells （TUNEL）. Furthermore, the dosage of vasoactive drugs used after operation was significantly less in the L-carnitine group （P〈0.01）. It was concluded that L-carnitine cardioplegia solution could improve cardiac function in patients undergoing heart valve replacement operation and alleviate CPB-mediated apoptosis of cardiac muscle cells.展开更多
We prove some value-distribution results for a class of L-functions with rational moving targets. The class contains Selberg class, as well as the Riemann-zeta function.
This paper reported firstly successful cloning of lycopene ε-cyclase （lbLCYe） gene from sweetpotato, lpomoea batatas （L.） Lam. Using rapid amplification of cDNA ends （RACE）, lbLCYe gene was cloned from sweetpot...This paper reported firstly successful cloning of lycopene ε-cyclase （lbLCYe） gene from sweetpotato, lpomoea batatas （L.） Lam. Using rapid amplification of cDNA ends （RACE）, lbLCYe gene was cloned from sweetpotato cv. Nongdafu 14 with high carotenoid content. The 1 805 bp cDNA sequence oflbLCYe gene contained a 1236 bp open reading frame （ORF） encoding a 411 amino acids polypeptide with a molecular weight of 47 kDa and an isoelectric point （pI） of 6.95. IbLCYe protein contained one potential lycopene ε-cyclase domain and one potential FAD （flavinadenine dinucleotide）/NAD（P） （nicotinamide adenine dinucleotide phosphate）-binding domain, indicating that this protein shares the typical characteristics of LCYe proteins. The gDNA oflbLCYe gene was 4 029 bp and deduced to contain 5 introns and 6 exons. Real-time quantitative PCR analysis revealed that the expression level of IbLCYe gene was significantly higher in the storage roots of Nongdafu 14 than those in the leaves and stems. Transgenic tobacco （cv. Wisconsin 38） expressing [bLCYe gene accumulated significantly more ^-carotene compared to the untransformed control plants. These results showed that lbLCYe gene has an important function for the accumulation of carotenoids of sweetpotato.展开更多
In this paper. we study the average n-K width of the convolution class B_(pq)(G)(or B_(?)(G)), for which the kernel G(x) is a PF density, in the metric L_q(R)(or L_(qp)(R)) for the case 1≤q<p ≤∞, and obtain some...In this paper. we study the average n-K width of the convolution class B_(pq)(G)(or B_(?)(G)), for which the kernel G(x) is a PF density, in the metric L_q(R)(or L_(qp)(R)) for the case 1≤q<p ≤∞, and obtain some exact results.展开更多
[Objectives]To explore the effect of total flavonoids from Phyllanthus emblica L.on tumor proliferation and immune function.[Methods]The effects of total flavonoids of P.emblica L.on the proliferation of 6 different t...[Objectives]To explore the effect of total flavonoids from Phyllanthus emblica L.on tumor proliferation and immune function.[Methods]The effects of total flavonoids of P.emblica L.on the proliferation of 6 different tumor cell lines(human hepatoma cell line HepG-2,human cervical cancer cell line Hela,human gastric cancer cell line SGC7901,human nasopharyngeal carcinoma cell line CNE-2,human lung cancer cell line H460 and human ovarian cancer cell line A2780)were compared by SRB method.The effect of total flavonoids from P.emblica L.on the proliferation of mouse lymphocytes induced by concanavalin(ConA)or lipopolysaccharide(LPS)in vitro was detected by CCK-8 method.[Results]The results of SRB assay showed that compared with the normal group,the total flavonoids of P.emblica L.had obvious inhibitory effect on 6 kinds of tumor cells.Among them,the inhibitory effect on H460 cells and CNE-2 cells was the most significant,and the IC50 was(471.36±50.66),(463.26±40.75)μg/mL,respectively.The high dose group of total flavonoids from P.emblica L.had the same inhibitory effect as the positive drug 5-Fu.The results of CCK-8 assay showed that compared with the blank group,the total flavonoids of P.emblica L.significantly inhibited the proliferation of mouse lymphocytes induced by ConA or LPS(*P<0.05,**P<0.01).[Conclusions]The total flavonoids of P.emblica L.had significant anti-tumor activity.展开更多
In this paper, we calculate the absolute tensor square of the Dirichlet L-functions and show that it is expressed as an Euler product over pairs of primes. The method is to construct an equation to link primes to a se...In this paper, we calculate the absolute tensor square of the Dirichlet L-functions and show that it is expressed as an Euler product over pairs of primes. The method is to construct an equation to link primes to a series which has the factors of the absolute tensor product of the Dirichlet L-functions. This study is a generalization of Akatsuka’s theorem on the Riemann zeta function, and gives a proof of Kurokawa’s prediction proposed in 1992.展开更多
In this paper, the author obtains that the multilinear operators of strongly singular integral operators and their dual operators are bounded from some L^p（R^n） to L^p（R^n） when the m-th order derivatives of A bel...In this paper, the author obtains that the multilinear operators of strongly singular integral operators and their dual operators are bounded from some L^p（R^n） to L^p（R^n） when the m-th order derivatives of A belong to L^p（R^n） for r large enough. By this result, the author gets the estimates for the Sharp maximal functions of the multilinear operators with the m-th order derivatives of A being Lipschitz functions. It follows that the multilinear operators are （L^p, L^p）-type operators for 1 〈 p 〈 ∞.展开更多
基金supported, in part, by the GNAMPA and the GNFM of the Italian INdAM
文摘In this paper, a constructive theory is developed for approximating func- tions of one or more variables by superposition of sigmoidal functions. This is done in the uniform norm as well as in the L^p norm. Results for the simultaneous approx- imation, with the same order of accuracy, of a function and its derivatives （whenever these exist）, are obtained. The relation with neural networks and radial basis func- tions approximations is discussed. Numerical examples are given for the purpose of illustration.
文摘Area integral functions are introduced for sectorial operators on L^p-spaces. We establish the equivalence between the square and area integral functions for sectorial operators on L^p spaces. This follows that the results of Cowling, Doust, McIntosh, Yagi, and Le Merdy on H^∞ functional calculus of seetorial operators on LP-spaces hold true when the square functions are replaced by the area integral functions.
文摘L-茶氨酸(L-Theanine,LTA)是茶叶中独特的游离氨基酸,是茶汤鲜爽味的主要来源,具有多种生物活性,属于新食品原料。本文基于Citespace和VOSviewer对Web of Science核心数据库和中国知网数据库,对2014~2024年LTA相关文献进行可视化分析,其中关键词密度和贡献图谱结果显示LTA相关研究集中在茶叶类型、胁迫反应、LTA的生物活性等方面。因此,本文综述了茶叶LTA含量的影响因素,并重点阐述LTA生物活性作用机制,包括抗氧化、抗热应激、抗抑郁、调节代谢、抗癌、调节免疫、调节肠道菌群、保护神经系统、保护肝脏和保护肠道的作用机制,发现LTA主要通过调控核因子κB(Nuclear factor kappa B,NF-κB)、c-Jun氨基末端激酶(c-Jun N-terminal kinase,JNK)、信号传导及转录激活因子(Signal transducer and activator of transcription,STAT)和丝裂原活化蛋白激酶(Mitogen-activated protein kinase,MAPK)等信号通路发挥生物活性功能,并总结了当前LTA在食品产业中的实际应用。本文可为LTA的研究和发展提供方向,并为开发LTA功能性食品提供一定的参考。
文摘The cycle coatrol function is defined and used to estimate tbe number of limit cycles for someplanar autonomous systems. Some sufficient conditions for the existence of no or at most one limitcycles are given.
文摘The author studies the L^p mapping properties of a class of maximal functions that are related to oscillatory singular integral operators. Lp estimates, as well as the corresponding weighted estimates of such maximal functions, are obtained. Moreover, several applications of our results are highlighted.
基金supported by the National Natural Sciencc Foundation of China(Grant No.10401018)the Scientifc Research Foundation for the Returmed Overseas Chinese Scholars,State Education Ministy.
文摘We study the Gross conjecture for the cyclotomic function field extension k(∧f)/k where k = Fq(t) is the rational function field and f is a monic polynomial in Fq[t].We prove the conjecture in the Fermat curve case(i.e., when f = t(t - 1)) by a direct calculation. We also prove the case when f is irreducible, which is analogous to the Weil reciprocity law. In the general case, we manage to show the weak version of the Gross conjecture here.
基金Supported by the NNSF of China（11071186）Supported by the Science Foundation for the Excellent Youth Scholars of Shanghai（ssc08017）Supported by the Doctoral Research Fund of Shanghai Ocean University
文摘In this paper a zero-density estimate of the large sieve type is given for the automorphic L-function L f (s,χ),where f is a holomorphic cusp form and χ a Dirichlet character of mod q.
文摘Summary： The effects of L-carnitine, as an ingredient of cardioplegia solution, on cardiac function and cardiomyocyte apoptosis in patients undergoing heart valve replacement operation were investigated. Twenty-three cases undergoing heart valve replacement with cardiopulmonary bypass （CPB） were randomly allocated into two groups： L-carnitine group （n=12, 12 g/L L-carnitine was put in the ST. Thomas cardioplegia） and control group （n=11, identical to the L-carnitine group except that normal saline was administered instead of L-carnitine）. Serum cardial troponin I （cTnI） levels, the left ventricular ejection fraction （LVEF）, and cardiac index （CI） were measured perioperatively. A bit of myocardial tissue obtained from right atria was taken before CPB and by the end of intracardiac procedure to undergo electron microscopy examination and estimate apoptosis by terminal deoxynucleotidyl transferase-mediated dUTP nick end-labeling （TUNEL）. From the end of CPB to 3 days after operation, the serum levels of cTnI in the L-carnitine group was significantly lower than that in the control group （P〈0.05）. Heart color ultrasonogram showed that the CI index and LVEF at 7th day postoperatively in the L-carnitine group were significantly higher than in the control group （P〈0.05）. Compared to the control group, L-carnitine significantly alleviated the morphologic changes of cardiac muscle cells （electron microscopy examination） and decreased the amounts of apoptotic cardiac muscle cells （TUNEL）. Furthermore, the dosage of vasoactive drugs used after operation was significantly less in the L-carnitine group （P〈0.01）. It was concluded that L-carnitine cardioplegia solution could improve cardiac function in patients undergoing heart valve replacement operation and alleviate CPB-mediated apoptosis of cardiac muscle cells.
文摘We prove some value-distribution results for a class of L-functions with rational moving targets. The class contains Selberg class, as well as the Riemann-zeta function.
基金supported by the China Agriculture Research System (Sweetpotato)the National High-Tech Research and Development Project of China(2011AA100607 and 2012AA101204)
文摘This paper reported firstly successful cloning of lycopene ε-cyclase （lbLCYe） gene from sweetpotato, lpomoea batatas （L.） Lam. Using rapid amplification of cDNA ends （RACE）, lbLCYe gene was cloned from sweetpotato cv. Nongdafu 14 with high carotenoid content. The 1 805 bp cDNA sequence oflbLCYe gene contained a 1236 bp open reading frame （ORF） encoding a 411 amino acids polypeptide with a molecular weight of 47 kDa and an isoelectric point （pI） of 6.95. IbLCYe protein contained one potential lycopene ε-cyclase domain and one potential FAD （flavinadenine dinucleotide）/NAD（P） （nicotinamide adenine dinucleotide phosphate）-binding domain, indicating that this protein shares the typical characteristics of LCYe proteins. The gDNA oflbLCYe gene was 4 029 bp and deduced to contain 5 introns and 6 exons. Real-time quantitative PCR analysis revealed that the expression level of IbLCYe gene was significantly higher in the storage roots of Nongdafu 14 than those in the leaves and stems. Transgenic tobacco （cv. Wisconsin 38） expressing [bLCYe gene accumulated significantly more ^-carotene compared to the untransformed control plants. These results showed that lbLCYe gene has an important function for the accumulation of carotenoids of sweetpotato.
基金The author was supported by the National Natural Science Found of China.
文摘In this paper. we study the average n-K width of the convolution class B_(pq)(G)(or B_(?)(G)), for which the kernel G(x) is a PF density, in the metric L_q(R)(or L_(qp)(R)) for the case 1≤q<p ≤∞, and obtain some exact results.
基金Supported by School-level Project of Guangxi University of Chinese Medicine(XP018091)Basic Ability Improvement Project of Young and Middle-aged Teachers in Colleges and Universities in Guangxi(2017KY0323).
文摘[Objectives]To explore the effect of total flavonoids from Phyllanthus emblica L.on tumor proliferation and immune function.[Methods]The effects of total flavonoids of P.emblica L.on the proliferation of 6 different tumor cell lines(human hepatoma cell line HepG-2,human cervical cancer cell line Hela,human gastric cancer cell line SGC7901,human nasopharyngeal carcinoma cell line CNE-2,human lung cancer cell line H460 and human ovarian cancer cell line A2780)were compared by SRB method.The effect of total flavonoids from P.emblica L.on the proliferation of mouse lymphocytes induced by concanavalin(ConA)or lipopolysaccharide(LPS)in vitro was detected by CCK-8 method.[Results]The results of SRB assay showed that compared with the normal group,the total flavonoids of P.emblica L.had obvious inhibitory effect on 6 kinds of tumor cells.Among them,the inhibitory effect on H460 cells and CNE-2 cells was the most significant,and the IC50 was(471.36±50.66),(463.26±40.75)μg/mL,respectively.The high dose group of total flavonoids from P.emblica L.had the same inhibitory effect as the positive drug 5-Fu.The results of CCK-8 assay showed that compared with the blank group,the total flavonoids of P.emblica L.significantly inhibited the proliferation of mouse lymphocytes induced by ConA or LPS(*P<0.05,**P<0.01).[Conclusions]The total flavonoids of P.emblica L.had significant anti-tumor activity.
文摘In this paper, we calculate the absolute tensor square of the Dirichlet L-functions and show that it is expressed as an Euler product over pairs of primes. The method is to construct an equation to link primes to a series which has the factors of the absolute tensor product of the Dirichlet L-functions. This study is a generalization of Akatsuka’s theorem on the Riemann zeta function, and gives a proof of Kurokawa’s prediction proposed in 1992.
文摘In this paper, the author obtains that the multilinear operators of strongly singular integral operators and their dual operators are bounded from some L^p（R^n） to L^p（R^n） when the m-th order derivatives of A belong to L^p（R^n） for r large enough. By this result, the author gets the estimates for the Sharp maximal functions of the multilinear operators with the m-th order derivatives of A being Lipschitz functions. It follows that the multilinear operators are （L^p, L^p）-type operators for 1 〈 p 〈 ∞.
